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2002132361 is a prime number
BaseRepresentation
bin111011101010110…
…0001110110001001
312011112100212021102
41313111201312021
513100021213421
6530400351145
7100420562405
oct16725416611
95145325242
102002132361
11938173749
1247a6154b5
1325ba42b08
1414dc92105
15bab8460b
hex77561d89

2002132361 has 2 divisors, whose sum is σ = 2002132362. Its totient is φ = 2002132360.

The previous prime is 2002132291. The next prime is 2002132411. The reversal of 2002132361 is 1632312002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1790982400 + 211149961 = 42320^2 + 14531^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002132361 - 210 = 2002131337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002134361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001066180 + 1001066181.

It is an arithmetic number, because the mean of its divisors is an integer number (1001066181).

Almost surely, 22002132361 is an apocalyptic number.

It is an amenable number.

2002132361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002132361 is an equidigital number, since it uses as much as digits as its factorization.

2002132361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2002132361 is about 44745.1937195494. The cubic root of 2002132361 is about 1260.3686586070.

Adding to 2002132361 its reverse (1632312002), we get a palindrome (3634444363).

The spelling of 2002132361 in words is "two billion, two million, one hundred thirty-two thousand, three hundred sixty-one".